The receiver in a parabolic satellite dish is d = 9.5 feet from the vertex and is located at the focus (see figure). Write an equation for a cross section of the reflector. (Assume that the dish is directed upward and the vertex is at the origin.) Note that the focus lies on the y-axis, p units (directed distance) from the vertex. If the vertex is at the origin, the standard equation of the parabola takes the following form. x2 = ____ py   The vertex is at  (0, 0).  Therefore, h = 0 and k = 0, and focus is at a distance of 9.5 feet from the vertex. ⇒ p = _______

Q: EXERCISES 2.1 Find the coordinates of the focus and the equation of the directrix for each parabola.…

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